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Finding the Fourth Proportional to 3,602, 4,970.76 and 1,946

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Solution

The fourth proportional to 3,602, 4,970.76 and 1,946 is: 2,685.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602 : 4,970.76 = 1,946 : x
  2. Step 2: Convert to fraction form
    3,602/4,970.76 = 1,946/x
  3. Step 3: Cross multiply
    3,602x = 4,970.76 × 1,946
  4. Step 4: Simplify right side
    3,602x = 9,673,098.96
  5. Step 5: Solve for x
    x = 9,673,098.96/3,602
  6. Step 6: Final answer
    x = 2,685.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.